Topology, Mass and Casimir energy

Details Topology, Mass and Casimir energy Topology, Mass and Casimir energy

2005-10-23

arxiv.org/abs/gr-qc/0510100v2

Nucl.Phys. B738 (2006) 269-282

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure, RevTex format, Typos corrected and references added

Scientific paper

10.1016/j.nuclphysb.2006.01.010

The vacuum expectation value of the stress energy tensor for a massive scalar field with arbitrary coupling in flat spaces with non-trivial topology is discussed. We calculate the Casimir energy in these spaces employing the recently proposed {\it optical approach} based on closed classical paths. The evaluation of the Casimir energy consists in an expansion in terms of the lengths of these paths. We will show how different paths with corresponding weight factors contribute in the calculation. The optical approach is also used to find the mass and temperature dependence of the Casimir energy in a cavity and it is shown that the massive fields cannot be neglected in high and low temperature regimes. The same approach is applied to twisted as well as spinor fields and the results are compared with those in the literature.

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